MATH 21001 004, Linear Algebra with Applications, Fall 2006

TR 5:30-6:45 PM, MSB 109
INSTRUCTOR: Sean Sather-Wagstaff
E-MAIL: sather at
PHONE: 672-9090
OFFICE HOURS: M 11-12, T 4:30-5:30, W 1-2, R 2:30-3:30, F 11-12, and by appointment
PREREQUISITES: MATH 11012 or 12002



REQUIRED TEXT: Elementary Linear Algebra, Larson, Edwards, and Falvo, 5th edition

COURSE DESCRIPTION: Systems of linear equations and the associated matrix operations, linear transformations, vector spaces, bases, eigenvectors. Class meets for 150 minutes of lecture per week.

COURSE GRADES: Student grades are based on weekly homework assignments, attendance and participation, three (3) midterm examinations, and one (1) comprehensive final examination covering students' understanding of topics covered in MATH 21001. Weights are summarized in the following table.

Homework: 20%
Attendance and participation: 5%
Midterms: 20%
Final Exam: 35%

I will update your grades throughout the semester at the university Vista site. Final grades will be assigned according to the following percentages.

A 93-100% A- 90-92.9%
B+ 87-89.9% B 83-86.9% B- 80-82.9%
C+ 77-79.9% C 73-76.9% C- 70-72.9%
D+ 67--69.9% D 60-66.9%
F 0-59.9%

HOMEWORK: I will assign homework on a weekly basis. Exercises will be assigned in class on Tuesdays and solutions will be due at the beginning of class on the following Tuesday. Assignments will also be listed on the course webpage. Each section of homework will be worth the same amount. I will drop your two (2) lowest homework scores. Late assignments will not be accepted.

Students are encouraged to work on assignments in small groups, but each member of the class is required to turn in a neatly written, organized set of solutions, written in their own words. Students will receive no credit for solutions with no work or justification. Pages should be stapled with ``fringe'' removed. I reserve the right to deduct points for messy papers.

QUIZZES: Quizzes will be taken at the beginning of class on Thursdays. You will be allowed to use one (1) page of notes during each quiz. Books and calculators will not be allowed during the quizzes. I will drop your two (2) lowest quiz scores. Make-up quizzes will not be allowed.

ATTENDANCE: While attendance is not explicitly required, it is worth 5% of your grade. In addition, your presence, attention, and participation in lecture will greatly help your performance in this class. For these reasons, I will take attendance each class period. Officially excused absences will not be counted against you, but you must document such situations with me personally.

EXAMS: Midterm exams will be taken in class and will last 75 minutes. The final examination will be comprehensive and will last 2 hours and 15 minutes. You will be allowed to use one (1) page of notes during each exam. Books and calculators will not be allowed during the exams. I will drop your lowest midterm score. Make-up exams will not be allowed. If you have a conflict with the final exam date, you are responsible for making alternative arrangements with me beforehand.

TENTATIVE SCHEDULE: I reserve the right to make reasonable changes to the schedule if I find it necessary.

Last day to withdraw from courses before grade of ``W'' is assigned: Sun 10 Sep
Midterm 1: Tue 26 Sep
Midterm 2: Tue 31 Oct
Last day to withdraw from courses with grade of ``W'': Sat 11 Nov
Thanksgiving holiday: Wed 22 Nov to Sun 26 Nov
Midterm 3: Tue 05 Dec
Classes end: Fri 08 Dec
Final Exam: Tue 12 Dec 5:45-8:00 PM

LECTURE NOTES: Clear and thorough course notes will provide you with a basis for your preparations for homework assignments, quizzes, and exams. You are responsible for taking notes during class, as I will not be posting my lecture notes online.

WORKLOAD: You should plan to spend 6--9 hours per week working on this course outside lecture.

ANNOUNCEMENTS: Periodically, I will send course announcements to your email account. It is your responsibility to check this email account regularly.

GRAPHING CALCULATORS: Graphing calculators are not required for this course, but you may find one useful. (I personally use the TI-85.) Calculators will not be allowed in the quizzes or exams.

QUESTIONS: If something I say or write in lecture is unclear, raise your hand and ask a question. I will try to clarify the point I am making.

GROUP STUDY: Find at least one person in the class with whom you can study. Not only does this help you study better, but also, in the event you miss a lecture, you can get the notes and assignments from this person.

TEXT READING: Read the relevant sections of the text book before lecture. Even if you don't understand everything, seeing it once before I present it will help you follow lecture considerably.

OFFICE HOURS: Come to my office hours for help. This gives me the opportunity to focus on specific problems you may be having and to explain things in a more personal manner. If the scheduled times are bad for you, make an appointment with me.

INSTRUCTOR FEEDBACK: Here is a link to an anonymous evaluation form where students can submit comments or suggestions for me at any time during the semester.

STUDENTS WITH DISABILITIES: University policy 3342-3-18 requires that students with disabilities be provided reasonable accommodations to ensure their equal access to course content. If you have a documented disability and require accommodations, please contact the instructor at the beginning of the semester to make arrangements for necessary classroom adjustments. Please note, you must first verify your eligibility for these through Student Accessibility Services (contact 330-672-3391 or visit for more information on registration procedures).

ACADEMIC INTEGRITY: Kent State University does not tolerate cheating or plagiarism. Students who have questions or concerns about academic integrity should ask their professors or counselors in their college's Undergraduate Advising Office, or refer to the official Kent State policy on cheating and plagiarism at\_view.asp?ID=505\&Table=Archive .


1. (3 lectures) Systems of Linear Equations
2. (4 lectures) Matrices
3. (4 lectures) Determinants
4. (10 lectures) Vector Spaces
5. (3 lectures) Eigenvectors and Eigenvalues
6. (2 lectures) Applications

09.12 1.1 2, 6, 8, 10, 14, 18, 28, 30, 38, 40, 60, 68
09.19 1.2 2, 6, 8, 10, 12, 20, 22, 24, 26, 28, 30, 46, 54
09.19 2.1 2, 8, 10, 14, 16, 18, 28, 36, 37, 46, 62
10.10 2.2 10, 20, 24, 30, 34, 36, 38, 42, 46, 49
10.10 2.3 4, 6, 8, 14, 26, 40, 42, 47, click here for the last exercise
10.17 2.4 2, 6, 10, 16, 24, 30, 56, 57
10.17 3.1 4, 8, 12, 20, 26, 28, 42, 46, 48, 50, 54
10.24 3.2 18, 22, 26, 32, 34, 38, 40, 45
10.24 3.3 20, 26, 28, 38, 45, 50, 56, 59
11.07 3.5 4, 6, 10, 11, 26, 28
11.07 4.1 2, 4, 6, 8, 18, 26, 28, 34, 36, 42, 44
11.14 4.2 14, 16, 18, 20, 22, 26(a), 32, 35
11.21 4.3 4, 10, 14(a), 14(b), 16, 18, 22, 26
11.28 4.4 6, 8, 12, 16, 18, 20, 24, 36, 44, 49
12.05 4.5 10, 12, 24, 28, 48, 56, 58, 61, 66

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Last updated 28 November 2006.